|
|
| (21 intermediate revisions by 8 users not shown) |
| Line 1: |
Line 1: |
| {{todo| expand | inline=1 }} | | {{Technical data page}} |
| | The '''alphaxenic rank-3 clan''' of [[temperament]]s [[tempering out|tempers out]] the [[Alpharabian comma]] ({{monzo|legend=1| -17 2 0 0 4 }}, [[ratio]]: 131769/131072). Both no-5 alphaxenic and no-7 alphaxenic can be the head of this clan. |
|
| |
|
| These are rank-3 temperaments that temper out the [[Alpharabian comma]], {{monzo| -17 2 0 0 4 }} = 131769/131072, but we can begin with the rank-4 temperament.
| | Temperaments discussed elsewhere include: |
| | * ''[[Uniwiz]]'' (+385/384) → [[Keenanismic temperaments #Uniwiz|Keenanismic temperaments]] |
| | * ''[[Rabic]]'' (+243/242) → [[Rastmic rank-3 clan #Rabic|Rastmic rank-3 clan]] |
|
| |
|
| Comma: 131769/131072
| | [[Category:Temperament clans]] |
| | | [[Category:Alphaxenic rank-3 clan| ]] <!-- main article --> |
| POTE generators: ~11/8 = 549.3316 or ~33/32 = 50.6784, ~5/4 = 385.5751, ~7/4 = 967.9328
| |
| | |
| Map: [<2 1 0 0 8|, <0 2 0 0 -1|, <0 0 1 0 0|, <0 0 0 1 0|]
| |
| | |
| Wedgie:
| |
| | |
| EDOs: {{EDOs| 22, 46, 68, 72, 118, 190, 212, 284, 330e, 402de }}
| |
| | |
| Badness:
| |
| | |
| = Betarabian =
| |
| | |
| Whenever the [[rastma]] is added to the list of commas tempered out among Alpharabian temperaments, you end up with Betarabian, which splits the octave into 24 equal parts. This temperament is named as such because tempering out both the Alpharabian comma and the rastma automatically tempers out the [[Betarabian comma]], and although there are technically other Betarabian temperaments, they have different names.
| |
| | |
| Commas: 243/242, 131769/131072
| |
| | |
| POTE generators: ~5/4 = 385.0647, ~7/4 = 967.3158
| |
| | |
| Map: [<24 38 0 0 83|, <0 0 1 0 0|, <0 0 0 1 0|]
| |
| | |
| Wedgie:
| |
| | |
| EDOs: {{EDOs| 24, 48, 72, 264 }}
| |
| | |
| Badness:
| |
| | |
| [[Category:Theory]]
| |
| [[Category:Temperament]] | |
| [[Category:Alpharabian]] | |
| [[Category:Rank 3]] | | [[Category:Rank 3]] |